| 1 | !> @file spectrum.f90 |
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| 2 | !--------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 7 | ! either version 3 of the License, or (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with |
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| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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| 16 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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| 17 | !--------------------------------------------------------------------------------! |
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| 18 | ! |
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| 19 | ! Current revisions: |
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| 20 | ! ----------------- |
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| 21 | ! routine is modularized, filename renamed from calc_spectra to spectrum, |
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| 22 | ! privious data module spectrum moved from modules.f90 to here, |
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| 23 | ! cpp-direktives for spectra removed, immediate return if no spectra levels are |
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| 24 | ! given |
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| 25 | ! |
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| 26 | ! Former revisions: |
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| 27 | ! ----------------- |
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| 28 | ! $Id: spectrum.f90 1786 2016-03-08 05:49:27Z raasch $ |
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| 29 | ! |
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| 30 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 31 | ! Code annotations made doxygen readable |
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| 32 | ! |
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| 33 | ! 1575 2015-03-27 09:56:27Z raasch |
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| 34 | ! adjustments for psolver-queries |
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| 35 | ! |
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| 36 | ! 1511 2014-12-16 15:54:16Z suehring |
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| 37 | ! Bugfix concerning spectra normalization |
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| 38 | ! |
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| 39 | ! 1431 2014-07-15 14:47:17Z suehring |
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| 40 | ! Wavenumber-integrated spectra coincide with respective variance. |
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| 41 | ! |
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| 42 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 43 | ! REAL constants defined as wp-kinds |
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| 44 | ! |
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| 45 | ! 1324 2014-03-21 09:13:16Z suehring |
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| 46 | ! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices |
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| 47 | ! |
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| 48 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 49 | ! ONLY-attribute added to USE-statements, |
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| 50 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 51 | ! kinds are defined in new module kinds, |
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| 52 | ! revision history before 2012 removed, |
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| 53 | ! comment fields (!:) to be used for variable explanations added to |
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| 54 | ! all variable declaration statements |
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| 55 | ! |
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| 56 | ! 1318 2014-03-17 13:35:16Z raasch |
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| 57 | ! module interfaces removed |
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| 58 | ! |
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| 59 | ! 1216 2013-08-26 09:31:42Z raasch |
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| 60 | ! resorting of array moved to separate routine resort_for_zx, |
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| 61 | ! one argument removed from the transpose_..d routines |
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| 62 | ! |
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| 63 | ! 1120 2013-04-05 15:11:35Z raasch |
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| 64 | ! bugfix: calls of fft_x|y replaced by fft_x|y_1d |
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| 65 | ! |
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| 66 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 67 | ! code put under GPL (PALM 3.9) |
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| 68 | ! |
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| 69 | ! 1003 2012-09-14 14:35:53Z raasch |
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| 70 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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| 71 | ! |
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| 72 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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| 73 | ! Initial revision |
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| 74 | ! |
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| 75 | ! |
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| 76 | ! Description: |
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| 77 | ! ------------ |
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| 78 | !> Calculate horizontal spectra along x and y. |
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| 79 | !> ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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| 80 | !> case the gridpoint number along z still depends on the PE number |
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| 81 | !> because transpose_xz has to be used (and possibly also |
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| 82 | !> transpose_zyd needs modification). |
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| 83 | !------------------------------------------------------------------------------! |
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| 84 | MODULE spectrum |
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| 85 | |
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| 86 | USE kinds |
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| 87 | |
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| 88 | PRIVATE |
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| 89 | |
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| 90 | CHARACTER (LEN=6), DIMENSION(1:5) :: header_char = (/ 'PS(u) ', 'PS(v) ',& |
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| 91 | 'PS(w) ', 'PS(pt)', 'PS(q) ' /) |
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| 92 | CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x' |
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| 93 | CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' ' |
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| 94 | CHARACTER (LEN=25), DIMENSION(1:5) :: utext_char = & |
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| 95 | (/ '-power spectrum of u ', & |
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| 96 | '-power spectrum of v ', & |
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| 97 | '-power spectrum of w ', & |
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| 98 | '-power spectrum of ^1185 ', & |
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| 99 | '-power spectrum of q ' /) |
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| 100 | CHARACTER (LEN=39), DIMENSION(1:5) :: ytext_char = & |
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| 101 | (/ 'k ^2236 ^2566^2569<u(k) in m>2s>->2 ', & |
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| 102 | 'k ^2236 ^2566^2569<v(k) in m>2s>->2 ', & |
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| 103 | 'k ^2236 ^2566^2569<w(k) in m>2s>->2 ', & |
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| 104 | 'k ^2236 ^2566^2569<^1185(k) in m>2s>->2', & |
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| 105 | 'k ^2236 ^2566^2569<q(k) in m>2s>->2 ' /) |
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| 106 | |
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| 107 | INTEGER(iwp) :: klist_x = 0, klist_y = 0, n_sp_x = 0, n_sp_y = 0 |
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| 108 | |
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| 109 | INTEGER(iwp) :: comp_spectra_level(100) = 999999, & |
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| 110 | lstyles(100) = (/ 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 111 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 112 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 113 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 114 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 115 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 116 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 117 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 118 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8, & |
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| 119 | 0, 7, 3, 10, 1, 4, 9, 2, 6, 8 /), & |
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| 120 | plot_spectra_level(100) = 999999 |
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| 121 | |
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| 122 | REAL(wp) :: time_to_start_sp = 0.0_wp |
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| 123 | |
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| 124 | PUBLIC comp_spectra_level, data_output_sp, header_char, klist_x, klist_y, & |
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| 125 | lstyles, n_sp_x, n_sp_y, plot_spectra_level, spectra_direction, & |
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| 126 | utext_char, ytext_char |
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| 127 | |
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| 128 | SAVE |
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| 129 | |
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| 130 | INTERFACE calc_spectra |
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| 131 | MODULE PROCEDURE calc_spectra |
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| 132 | END INTERFACE calc_spectra |
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| 133 | |
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| 134 | INTERFACE preprocess_spectra |
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| 135 | MODULE PROCEDURE preprocess_spectra |
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| 136 | END INTERFACE preprocess_spectra |
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| 137 | |
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| 138 | INTERFACE calc_spectra_x |
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| 139 | MODULE PROCEDURE calc_spectra_x |
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| 140 | END INTERFACE calc_spectra_x |
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| 141 | |
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| 142 | INTERFACE calc_spectra_y |
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| 143 | MODULE PROCEDURE calc_spectra_y |
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| 144 | END INTERFACE calc_spectra_y |
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| 145 | |
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| 146 | PUBLIC calc_spectra |
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| 147 | |
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| 148 | |
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| 149 | CONTAINS |
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| 150 | |
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| 151 | SUBROUTINE calc_spectra |
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| 152 | |
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| 153 | USE arrays_3d, & |
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| 154 | ONLY: d, tend |
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| 155 | |
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| 156 | USE control_parameters, & |
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| 157 | ONLY: average_count_sp, bc_lr_cyc, bc_ns_cyc, message_string, psolver |
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| 158 | |
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| 159 | USE cpulog, & |
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| 160 | ONLY: cpu_log, log_point |
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| 161 | |
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| 162 | USE fft_xy, & |
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| 163 | ONLY: fft_init |
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| 164 | |
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| 165 | USE indices, & |
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| 166 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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| 167 | |
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| 168 | USE kinds |
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| 169 | |
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| 170 | USE pegrid, & |
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| 171 | ONLY: myid, pdims |
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| 172 | |
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| 173 | IMPLICIT NONE |
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| 174 | |
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| 175 | INTEGER(iwp) :: m !< |
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| 176 | INTEGER(iwp) :: pr !< |
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| 177 | |
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| 178 | |
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| 179 | ! |
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| 180 | !-- Check if user gave any levels for spectra to be calculated |
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| 181 | IF ( comp_spectra_level(1) == 999999 ) RETURN |
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| 182 | |
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| 183 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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| 184 | |
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| 185 | ! |
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| 186 | !-- Initialize ffts |
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| 187 | CALL fft_init |
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| 188 | |
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| 189 | ! |
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| 190 | !-- Reallocate array d in required size |
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| 191 | IF ( psolver(1:9) == 'multigrid' ) THEN |
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| 192 | DEALLOCATE( d ) |
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| 193 | ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) ) |
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| 194 | ENDIF |
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| 195 | |
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| 196 | m = 1 |
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| 197 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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| 198 | ! |
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| 199 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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| 200 | !-- along x) |
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| 201 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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| 202 | |
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| 203 | ! |
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| 204 | !-- Calculation of spectra works for cyclic boundary conditions only |
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| 205 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 206 | |
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| 207 | message_string = 'non-cyclic lateral boundaries along x do'// & |
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| 208 | ' not & allow calculation of spectra along x' |
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| 209 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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| 210 | ENDIF |
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| 211 | |
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| 212 | CALL preprocess_spectra( m, pr ) |
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| 213 | |
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| 214 | #if defined( __parallel ) |
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| 215 | IF ( pdims(2) /= 1 ) THEN |
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| 216 | CALL resort_for_zx( d, tend ) |
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| 217 | CALL transpose_zx( tend, d ) |
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| 218 | ELSE |
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| 219 | CALL transpose_yxd( d, d ) |
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| 220 | ENDIF |
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| 221 | CALL calc_spectra_x( d, pr, m ) |
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| 222 | #else |
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| 223 | message_string = 'sorry, calculation of spectra in non paral' // & |
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| 224 | 'lel mode& is still not realized' |
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| 225 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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| 226 | #endif |
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| 227 | |
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| 228 | ENDIF |
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| 229 | |
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| 230 | ! |
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| 231 | !-- Transposition from z --> y (d is rearranged only in case of a |
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| 232 | !-- 1d-decomposition along x) |
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| 233 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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| 234 | |
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| 235 | ! |
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| 236 | !-- Calculation of spectra works for cyclic boundary conditions only |
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| 237 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 238 | IF ( myid == 0 ) THEN |
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| 239 | message_string = 'non-cyclic lateral boundaries along y' // & |
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| 240 | ' do not & allow calculation of spectr' // & |
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| 241 | 'a along y' |
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| 242 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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| 243 | ENDIF |
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| 244 | CALL local_stop |
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| 245 | ENDIF |
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| 246 | |
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| 247 | CALL preprocess_spectra( m, pr ) |
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| 248 | |
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| 249 | #if defined( __parallel ) |
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| 250 | CALL transpose_zyd( d, d ) |
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| 251 | CALL calc_spectra_y( d, pr, m ) |
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| 252 | #else |
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| 253 | message_string = 'sorry, calculation of spectra in non paral' // & |
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| 254 | 'lel mode& is still not realized' |
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| 255 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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| 256 | #endif |
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| 257 | |
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| 258 | ENDIF |
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| 259 | |
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| 260 | ! |
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| 261 | !-- Increase counter for next spectrum |
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| 262 | m = m + 1 |
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| 263 | |
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| 264 | ENDDO |
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| 265 | |
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| 266 | ! |
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| 267 | !-- Increase counter for averaging process in routine plot_spectra |
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| 268 | average_count_sp = average_count_sp + 1 |
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| 269 | |
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| 270 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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| 271 | |
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| 272 | END SUBROUTINE calc_spectra |
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| 273 | |
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| 274 | |
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| 275 | !------------------------------------------------------------------------------! |
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| 276 | ! Description: |
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| 277 | ! ------------ |
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| 278 | !> @todo Missing subroutine description. |
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| 279 | !------------------------------------------------------------------------------! |
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| 280 | SUBROUTINE preprocess_spectra( m, pr ) |
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| 281 | |
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| 282 | USE arrays_3d, & |
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| 283 | ONLY: d, pt, q, u, v, w |
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| 284 | |
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| 285 | USE indices, & |
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| 286 | ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt |
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| 287 | |
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| 288 | USE kinds |
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| 289 | |
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| 290 | #if defined( __lc ) |
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| 291 | USE MPI |
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| 292 | #else |
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| 293 | INCLUDE "mpif.h" |
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| 294 | #endif |
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| 295 | USE pegrid, & |
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| 296 | ONLY: collective_wait, comm2d, ierr |
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| 297 | |
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| 298 | USE statistics, & |
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| 299 | ONLY: hom, var_d |
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| 300 | |
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| 301 | |
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| 302 | IMPLICIT NONE |
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| 303 | |
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| 304 | INTEGER(iwp) :: i !< |
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| 305 | INTEGER(iwp) :: j !< |
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| 306 | INTEGER(iwp) :: k !< |
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| 307 | INTEGER(iwp) :: m !< |
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| 308 | INTEGER(iwp) :: pr !< |
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| 309 | |
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| 310 | REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l |
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| 311 | |
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| 312 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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| 313 | |
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| 314 | CASE ( 'u' ) |
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| 315 | pr = 1 |
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| 316 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 317 | |
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| 318 | CASE ( 'v' ) |
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| 319 | pr = 2 |
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| 320 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 321 | |
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| 322 | CASE ( 'w' ) |
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| 323 | pr = 3 |
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| 324 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 325 | |
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| 326 | CASE ( 'pt' ) |
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| 327 | pr = 4 |
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| 328 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 329 | |
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| 330 | CASE ( 'q' ) |
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| 331 | pr = 41 |
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| 332 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 333 | |
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| 334 | CASE DEFAULT |
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| 335 | ! |
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| 336 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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| 337 | !-- contains a wrong character string or if the user has coded a special |
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| 338 | !-- case in the user interface. There, the subroutine user_spectra |
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| 339 | !-- checks which of these two conditions applies. |
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| 340 | CALL user_spectra( 'preprocess', m, pr ) |
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| 341 | |
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| 342 | END SELECT |
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| 343 | |
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| 344 | ! |
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| 345 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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| 346 | !-- calculated |
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| 347 | var_d_l(:) = 0.0_wp |
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| 348 | DO i = nxl, nxr |
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| 349 | DO j = nys, nyn |
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| 350 | DO k = nzb+1, nzt |
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| 351 | d(k,j,i) = d(k,j,i) - hom(k,1,pr,0) |
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| 352 | var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i) |
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| 353 | ENDDO |
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| 354 | ENDDO |
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| 355 | ENDDO |
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| 356 | ! |
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| 357 | !-- Compute total variance from local variances |
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| 358 | var_d(:) = 0.0_wp |
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| 359 | #if defined( __parallel ) |
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| 360 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 361 | CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, & |
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| 362 | comm2d, ierr ) |
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| 363 | #else |
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| 364 | var_d(:) = var_d_l(:) |
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| 365 | #endif |
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| 366 | var_d(:) = var_d(:) / ngp_2dh(0) |
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| 367 | |
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| 368 | END SUBROUTINE preprocess_spectra |
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| 369 | |
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| 370 | |
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| 371 | !------------------------------------------------------------------------------! |
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| 372 | ! Description: |
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| 373 | ! ------------ |
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| 374 | !> @todo Missing subroutine description. |
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| 375 | !------------------------------------------------------------------------------! |
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| 376 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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| 377 | |
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| 378 | USE control_parameters, & |
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| 379 | ONLY: fft_method |
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| 380 | |
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| 381 | USE fft_xy, & |
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| 382 | ONLY: fft_x_1d |
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| 383 | |
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| 384 | USE grid_variables, & |
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| 385 | ONLY: dx |
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| 386 | |
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| 387 | USE indices, & |
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| 388 | ONLY: nx, ny |
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| 389 | |
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| 390 | USE kinds |
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| 391 | |
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| 392 | #if defined( __lc ) |
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| 393 | USE MPI |
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| 394 | #else |
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| 395 | INCLUDE "mpif.h" |
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| 396 | #endif |
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| 397 | USE pegrid, & |
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| 398 | ONLY: comm2d, ierr, myid |
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| 399 | |
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| 400 | USE statistics, & |
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| 401 | ONLY: spectrum_x, var_d |
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| 402 | |
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| 403 | USE transpose_indices, & |
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| 404 | ONLY: nyn_x, nys_x, nzb_x, nzt_x |
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| 405 | |
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| 406 | |
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| 407 | IMPLICIT NONE |
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| 408 | |
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| 409 | INTEGER(iwp) :: i !< |
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| 410 | INTEGER(iwp) :: ishape(1) !< |
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| 411 | INTEGER(iwp) :: j !< |
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| 412 | INTEGER(iwp) :: k !< |
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| 413 | INTEGER(iwp) :: m !< |
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| 414 | INTEGER(iwp) :: n !< |
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| 415 | INTEGER(iwp) :: pr !< |
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| 416 | |
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| 417 | REAL(wp) :: exponent !< |
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| 418 | REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum |
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| 419 | |
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| 420 | REAL(wp), DIMENSION(0:nx) :: work !< |
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| 421 | |
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| 422 | REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !< |
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| 423 | |
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| 424 | REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !< |
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| 425 | |
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| 426 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !< |
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| 427 | |
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| 428 | ! |
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| 429 | !-- Exponent for geometric average |
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| 430 | exponent = 1.0_wp / ( ny + 1.0_wp ) |
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| 431 | |
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| 432 | ! |
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| 433 | !-- Loop over all levels defined by the user |
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| 434 | n = 1 |
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| 435 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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| 436 | |
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| 437 | k = comp_spectra_level(n) |
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| 438 | |
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| 439 | ! |
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| 440 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 441 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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| 442 | |
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| 443 | DO j = nys_x, nyn_x |
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| 444 | |
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| 445 | work = ddd(0:nx,j,k) |
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| 446 | CALL fft_x_1d( work, 'forward' ) |
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| 447 | |
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| 448 | ddd(0,j,k) = dx * work(0)**2 |
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| 449 | DO i = 1, nx/2 |
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| 450 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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| 451 | ENDDO |
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| 452 | |
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| 453 | ENDDO |
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| 454 | |
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| 455 | ! |
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| 456 | !-- Local sum and geometric average of these spectra |
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| 457 | !-- (WARNING: no global sum should be performed, because floating |
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| 458 | !-- point overflow may occur) |
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| 459 | DO i = 0, nx/2 |
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| 460 | |
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| 461 | sums_spectra_l(i) = 1.0_wp |
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| 462 | DO j = nys_x, nyn_x |
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| 463 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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| 464 | ENDDO |
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| 465 | |
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| 466 | ENDDO |
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| 467 | |
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| 468 | ELSE |
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| 469 | |
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| 470 | sums_spectra_l = 1.0_wp |
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| 471 | |
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| 472 | ENDIF |
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| 473 | |
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| 474 | ! |
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| 475 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 476 | sums_spectra(:,n) = 0.0_wp |
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| 477 | #if defined( __parallel ) |
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| 478 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 479 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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| 480 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 481 | #else |
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| 482 | sums_spectra(:,n) = sums_spectra_l |
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| 483 | #endif |
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| 484 | ! |
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| 485 | !-- Normalize spectra by variance |
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| 486 | sum_spec_dum = SUM( sums_spectra(:,n) ) |
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| 487 | IF ( sum_spec_dum /= 0.0_wp ) THEN |
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| 488 | sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum |
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| 489 | ENDIF |
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| 490 | n = n + 1 |
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| 491 | |
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| 492 | ENDDO |
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| 493 | n = n - 1 |
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| 494 | |
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| 495 | IF ( myid == 0 ) THEN |
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| 496 | ! |
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| 497 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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| 498 | DO i = 1, nx/2 |
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| 499 | DO k = 1, n |
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| 500 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) |
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| 501 | ENDDO |
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| 502 | ENDDO |
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| 503 | |
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| 504 | ENDIF |
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| 505 | ! |
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| 506 | !-- n_sp_x is needed by data_output_spectra_x |
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| 507 | n_sp_x = n |
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| 508 | |
|---|
| 509 | END SUBROUTINE calc_spectra_x |
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| 510 | |
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| 511 | |
|---|
| 512 | !------------------------------------------------------------------------------! |
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| 513 | ! Description: |
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| 514 | ! ------------ |
|---|
| 515 | !> @todo Missing subroutine description. |
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| 516 | !------------------------------------------------------------------------------! |
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| 517 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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| 518 | |
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| 519 | USE control_parameters, & |
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| 520 | ONLY: fft_method |
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| 521 | |
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| 522 | USE fft_xy, & |
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| 523 | ONLY: fft_y_1d |
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| 524 | |
|---|
| 525 | USE grid_variables, & |
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| 526 | ONLY: dy |
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| 527 | |
|---|
| 528 | USE indices, & |
|---|
| 529 | ONLY: nx, ny |
|---|
| 530 | |
|---|
| 531 | USE kinds |
|---|
| 532 | |
|---|
| 533 | #if defined( __lc ) |
|---|
| 534 | USE MPI |
|---|
| 535 | #else |
|---|
| 536 | INCLUDE "mpif.h" |
|---|
| 537 | #endif |
|---|
| 538 | USE pegrid, & |
|---|
| 539 | ONLY: comm2d, ierr, myid |
|---|
| 540 | |
|---|
| 541 | USE statistics, & |
|---|
| 542 | ONLY: spectrum_y, var_d |
|---|
| 543 | |
|---|
| 544 | USE transpose_indices, & |
|---|
| 545 | ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd |
|---|
| 546 | |
|---|
| 547 | |
|---|
| 548 | IMPLICIT NONE |
|---|
| 549 | |
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| 550 | INTEGER(iwp) :: i !< |
|---|
| 551 | INTEGER(iwp) :: j !< |
|---|
| 552 | INTEGER(iwp) :: jshape(1) !< |
|---|
| 553 | INTEGER(iwp) :: k !< |
|---|
| 554 | INTEGER(iwp) :: m !< |
|---|
| 555 | INTEGER(iwp) :: n !< |
|---|
| 556 | INTEGER(iwp) :: pr !< |
|---|
| 557 | |
|---|
| 558 | REAL(wp) :: exponent !< |
|---|
| 559 | REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum |
|---|
| 560 | |
|---|
| 561 | REAL(wp), DIMENSION(0:ny) :: work !< |
|---|
| 562 | |
|---|
| 563 | REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !< |
|---|
| 564 | |
|---|
| 565 | REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !< |
|---|
| 566 | |
|---|
| 567 | REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !< |
|---|
| 568 | |
|---|
| 569 | |
|---|
| 570 | ! |
|---|
| 571 | !-- Exponent for geometric average |
|---|
| 572 | exponent = 1.0_wp / ( nx + 1.0_wp ) |
|---|
| 573 | |
|---|
| 574 | ! |
|---|
| 575 | !-- Loop over all levels defined by the user |
|---|
| 576 | n = 1 |
|---|
| 577 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
|---|
| 578 | |
|---|
| 579 | k = comp_spectra_level(n) |
|---|
| 580 | |
|---|
| 581 | ! |
|---|
| 582 | !-- Calculate FFT only if the corresponding level is situated on this PE |
|---|
| 583 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
|---|
| 584 | |
|---|
| 585 | DO i = nxl_yd, nxr_yd |
|---|
| 586 | |
|---|
| 587 | work = ddd(0:ny,i,k) |
|---|
| 588 | CALL fft_y_1d( work, 'forward' ) |
|---|
| 589 | |
|---|
| 590 | ddd(0,i,k) = dy * work(0)**2 |
|---|
| 591 | DO j = 1, ny/2 |
|---|
| 592 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
|---|
| 593 | ENDDO |
|---|
| 594 | |
|---|
| 595 | ENDDO |
|---|
| 596 | |
|---|
| 597 | ! |
|---|
| 598 | !-- Local sum and geometric average of these spectra |
|---|
| 599 | !-- (WARNING: no global sum should be performed, because floating |
|---|
| 600 | !-- point overflow may occur) |
|---|
| 601 | DO j = 0, ny/2 |
|---|
| 602 | |
|---|
| 603 | sums_spectra_l(j) = 1.0_wp |
|---|
| 604 | DO i = nxl_yd, nxr_yd |
|---|
| 605 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
|---|
| 606 | ENDDO |
|---|
| 607 | |
|---|
| 608 | ENDDO |
|---|
| 609 | |
|---|
| 610 | ELSE |
|---|
| 611 | |
|---|
| 612 | sums_spectra_l = 1.0_wp |
|---|
| 613 | |
|---|
| 614 | ENDIF |
|---|
| 615 | |
|---|
| 616 | ! |
|---|
| 617 | !-- Global sum of spectra on PE0 (from where they are written on file) |
|---|
| 618 | sums_spectra(:,n) = 0.0_wp |
|---|
| 619 | #if defined( __parallel ) |
|---|
| 620 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
|---|
| 621 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
|---|
| 622 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
|---|
| 623 | #else |
|---|
| 624 | sums_spectra(:,n) = sums_spectra_l |
|---|
| 625 | #endif |
|---|
| 626 | ! |
|---|
| 627 | !-- Normalize spectra by variance |
|---|
| 628 | sum_spec_dum = SUM( sums_spectra(:,n) ) |
|---|
| 629 | IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN |
|---|
| 630 | sums_spectra(:,n) = sums_spectra(:,n) * & |
|---|
| 631 | var_d(k) / SUM(sums_spectra(:,n)) |
|---|
| 632 | ENDIF |
|---|
| 633 | n = n + 1 |
|---|
| 634 | |
|---|
| 635 | ENDDO |
|---|
| 636 | n = n - 1 |
|---|
| 637 | |
|---|
| 638 | |
|---|
| 639 | IF ( myid == 0 ) THEN |
|---|
| 640 | ! |
|---|
| 641 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
|---|
| 642 | DO j = 1, ny/2 |
|---|
| 643 | DO k = 1, n |
|---|
| 644 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) |
|---|
| 645 | ENDDO |
|---|
| 646 | ENDDO |
|---|
| 647 | |
|---|
| 648 | ENDIF |
|---|
| 649 | |
|---|
| 650 | ! |
|---|
| 651 | !-- n_sp_y is needed by data_output_spectra_y |
|---|
| 652 | n_sp_y = n |
|---|
| 653 | |
|---|
| 654 | END SUBROUTINE calc_spectra_y |
|---|
| 655 | |
|---|
| 656 | END MODULE spectrum |
|---|
